367 Answered Questions for the topic Calculus 2

Calculus 2 Calculus Integration

05/11/20

HARD CALCULUS QUESTION, HEEELP!!!

If f is integrable on [a, b], show by example that : tF (t) = ∫ f(x) dx ais continuous but need not to be differentiable.note: the integral from (a) to (t).
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05/11/20

what's the answer to this question: Let
x^2f(x) = ∫ e^(-t^2) dtxfind the critical points of f(x).note: integral from (x) to (x^2).
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05/11/20

If f is integrable on [a, b], show by example that
show by example that: tF (t) = ∫ f(x) dx ais continuous but need not to be differentiable.note: the integral from (a) to (t).
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04/15/20

Equation of a tangent line
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04/13/20

Integrals: Inverse Trigonometric
Integrate: dx/[sqrt(8+6x-9x^2)] Please show step by step solution. I have 1/3 arcsin (3x-1) + c as an answer, is that right?
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08/31/19

If f is continuous and [0 to 8] f(x)dx = 15, evaluate [0 to 2] f(4x)dx
If f is continuous and [0 to 8] f(x)dx = 15, evaluate [0 to 2] f(4x)dx
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08/31/19

If f is continuous and [0 to 9] f(x)dx = -10, find [0 to 3] xf(x^2)dx
If f is continuous and [0 to 9] f(x)dx = -10, find [0 to 3] xf(x2)dx
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Calculus 2 Cylindrical Shells

01/19/19

I know how to solve this problem but I can’t figure out how to get the limits for the integral
Use method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. X=5+(y-7)^2, X=14
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10/07/18

Matrices question. PLSSSSS HELP.
4. Let n≥2, let A and B b en×n matrices and let On be the n×n matrix with every entry 0.(b) Suppose that A2 = On. Show that In − A is invertible, and that (In − A)-1 = In + A.(c) Suppose that Am =... more
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Calculus 2 Calculus

10/04/18

Find the derivative of the function using the definition of derivative.State the domain of the function and the domain of its derivative f(x)=5-4x+3×^2
Find the derivative of the function using the definition of derivative.State the domain of the function and the domain of its derivative f(x)=5-4x+3×^2
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Calculus 2

10/04/18

College Calculus 2
Find f.    f'(t) = 8cost + Sec2t,        -π/2 < t < π/3 = 2   f(t) = ___
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Calculus 2

10/04/18

College Calculus 2
Find the most general antiderivative.   f(x) = (x^5-x^3+8x)/x^4
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Calculus 2 Calculus

10/04/18

College Calculus 2
Find the most general antiderivative of the function   f(x) = 5/x^4
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Calculus 2 Math Calculus Geometry

09/28/18

Pre calculus question !!!
How many solutions does the equation sin(x) sin(2x) sin(3x)... sin(11x) sin(12x) = 0 have in the interval (0,π ] ?    (a) 11   (b) 12   (c) 24   (d) 46   (e) 68
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Calculus 2 Math Calculus Geometry

09/28/18

Pre calculus question !!!
The vertices of a triangle ΔABC are A( p,q) , B(r, s) ,C(u, v) . Assume that these coordinates satisfy 2p+3r+4u=0   ,  2q + 3s + 4v=0     , and the origin O(0,0) lies in the interior of ΔABC . If... more
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Calculus 2

09/19/18

Whole question is in the description.
A bacterial culture has an initial population of 10,000. If it’s population declines to 4,000 in 4 hours, when will it’s population be 2530? Assume that the population decreases according to the... more
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Calculus 2 Half Life

09/12/18

If 20% of the substance disappears in 10 years, what is its half-life? (Round your answer to two
A radioactive substance follows the decay equation dA/ dt= kA. If 20% of the substance disappears in 10 years, what is its half-life? (Round your answer to two decimal places.)
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Calculus 2 Calculus Integrals Area

08/16/18

Double integral - calculating area
Calculate the area of the region bounded by the two curves, y = 4 - x2 and y = x + 2.   The answer is meant to be 9/2 but I just cannot get it!!! Maybe my bounds are incorrect.... help!
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Calculus 2 Graphing

08/07/18

find the concavity of y'=4y-y^3
 I cant find the concavity of this function but I found the increase/decreae and everything else.
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07/28/18

Find the Area (polar)
Find the area that is outside r = 2 but inside r = 4 cos θ.Type your answer in the space below and give 3 decimal places. If your answer is less than 1, place a leading "0" before the decimal point... more
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Calculus 2

07/19/18

Calculus question about Derivatives of Inverse Functions
So I have the problem "f(x)=(x^3)-(3x^2)-1,x>=2, find the value of (df^-1)/dx at the point x=-1=f(3)" I keep on getting the answer as 9 but the book says 1/9 and I have no idea why. Could you... more
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Calculus 2 Calculus Calculus 3

07/07/18

Find an area bounded by a graph
I need help with this task. cx(x^2/a^2+y^2/b^2)=y^2,x=b^2/c  
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Calculus 2

07/03/18

The solid S has a base described by the circle x^2+y^2=3. What is the volume of S with Cross sections perpendicular to the x-axis and the base are rectangles
The solid S has a base described by the circle x^2+y^2=36. Cross sections perpendicular to the x-axis and the base are rectangles whose height from the base is one-ninth its length. What is the... more
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06/30/18

Determine which function is a solution to the differential equation y ' − y = 0.
a) e^x b) square root of 2x c) x d) none of these
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06/30/18

Solve the differential equation
the product of 1/6x and dy/dx equals y times the square root of the quantity 3x squared - 1.
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